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Birch & Swinnerton-Dyer conjecture

Importance: Outstanding ✭✭✭✭
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Subject: Number Theory
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Recomm. for undergrads: no
Prize: $1,000,000
Posted by: eyoong
on: May 12th, 2012
Conjecture   Let $ E/K $ be an elliptic curve over a number field $ K $. Then the order of the zeros of its $ L $-function, $ L(E, s) $, at $ s = 1 $ is the Mordell-Weil rank of $ E(K) $.

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